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Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Nonlinear analysis, 2022-10, Vol.223, p.113025, Article 113025

2022

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Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations

Journal of dynamics and differential equations, 2024, Vol.36 (3), p.2679-2702

2024

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Nonlinear characterizations of stochastic completeness

Journal de mathématiques pures et appliquées, 2020-07, Vol.139, p.63-82

2020

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Supercritical Hénon-type equation with a forcing term

Advances in nonlinear analysis, 2024-04, Vol.13 (1), p.1373-1403

2024

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Optimal singularities of initial functions for solvability of a semilinear parabolic system

Journal of the Mathematical Society of Japan, 2022-04, Vol.74 (2)

2022

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Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators

Journal of dynamics and differential equations, 2020-09, Vol.32 (3), p.1219-1231

2020

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Initial traces and solvability of Cauchy problem to a semilinear parabolic system

Journal of the Mathematical Society of Japan, 2021, Vol.73 (4)

2021

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Existence of solutions for an inhomogeneous fractional semilinear heat equation

Nonlinear analysis, 2020-10, Vol.199, p.111920, Article 111920

2020

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Solvability of superlinear fractional parabolic equations

Journal of evolution equations, 2023-03, Vol.23 (1), Article 4

2023

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New characterizations of log-concavity via Dirichlet heat flow

Annali di matematica pura ed applicata, 2022-08, Vol.201 (4), p.1531-1552

2022

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Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

Journal of evolution equations, 2022-03, Vol.22 (1), Article 16

2022

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Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data

Zeitschrift für angewandte Mathematik und Physik, 2023-08, Vol.74 (4), Article 143

2023

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Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Advanced nonlinear studies, 2023-07, Vol.23 (1), p.63-95

2023

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Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations

Journal de mathématiques pures et appliquées, 2020-09, Vol.141, p.342-370

2020

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Eventual concavity properties of the heat flow

Mathematische annalen, 2024-05

Ishige, Kazuhiro

2024

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Asymptotic Expansions of Solutions of Fractional Diffusion Equations

SIAM journal on mathematical analysis, 2017-01, Vol.49 (3), p.2167-2190

2017

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Parabolic Minkowski convolutions of solutions to parabolic boundary value problems

Advances in mathematics (New York. 1965), 2016-01, Vol.287, p.640-673

2016

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Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

Advances in nonlinear analysis, 2022-01, Vol.11 (1), p.968-992

2022

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Blow-up set for type I blowing up solutions for a semilinear heat equation

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2014-04, Vol.31 (2), p.231-247

2014

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Parabolic power concavity and parabolic boundary value problems

Mathematische annalen, 2014-04, Vol.358 (3-4), p.1091-1117

2014

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Blow-up behavior of solutions to a degenerate parabolic–parabolic Keller–Segel system

Mathematische annalen, 2017-02, Vol.367 (1-2), p.461-499

2017

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Existence of solutions for a fractional semilinear parabolic equation with singular initial data

Nonlinear analysis, 2018-10, Vol.175, p.108-132

2018

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Refined asymptotic profiles for a semilinear heat equation

Mathematische annalen, 2012-05, Vol.353 (1), p.161-192

2012

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Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations

Journal d'analyse mathématique (Jerusalem), 2013-10, Vol.121 (1), p.317-351

2013

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Solvability of the Heat Equation with a Nonlinear Boundary Condition

SIAM journal on mathematical analysis, 2019-01, Vol.51 (1), p.565-594

2019

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Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations

Nonlinear characterizations of stochastic completeness

Supercritical Hénon-type equation with a forcing term

Optimal singularities of initial functions for solvability of a semilinear parabolic system

Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators

Initial traces and solvability of Cauchy problem to a semilinear parabolic system

Existence of solutions for an inhomogeneous fractional semilinear heat equation

Solvability of superlinear fractional parabolic equations

New characterizations of log-concavity via Dirichlet heat flow

Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data

Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations

Eventual concavity properties of the heat flow

Asymptotic Expansions of Solutions of Fractional Diffusion Equations

Parabolic Minkowski convolutions of solutions to parabolic boundary value problems

Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

Blow-up set for type I blowing up solutions for a semilinear heat equation

Parabolic power concavity and parabolic boundary value problems

Blow-up behavior of solutions to a degenerate parabolic–parabolic Keller–Segel system

Existence of solutions for a fractional semilinear parabolic equation with singular initial data

Refined asymptotic profiles for a semilinear heat equation

Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations

Solvability of the Heat Equation with a Nonlinear Boundary Condition

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